Least Common Multiple (LCM) of 174 and 193
The least common multiple (LCM) of 174 and 193 is 33582.
What is the Least Common Multiple (LCM)?
The LCM of two integers is the smallest positive integer that is divisible by both numbers. It is often used to find common denominators and solve problems involving periodic events.
Formula for LCM
The LCM of two numbers can be calculated using their GCD:
LCM(a, b) = |a × b| ÷ GCD(a, b)
How to Calculate the LCM of 174 and 193?
First, calculate the GCD of 174 and 193 using the Euclidean algorithm. Then use the formula above to find the LCM.
Step-by-Step GCD Calculation
| Step | Calculation |
|---|---|
| 1 | 174 ÷ 193 = 0 remainder 174 |
| 2 | 193 ÷ 174 = 1 remainder 19 |
| 3 | 174 ÷ 19 = 9 remainder 3 |
| 4 | 19 ÷ 3 = 6 remainder 1 |
| 5 | 3 ÷ 1 = 3 remainder 0 |
Examples of LCM Calculations
| Numbers | LCM |
|---|---|
| 15 and 197 | 2955 |
| 168 and 185 | 31080 |
| 23 and 125 | 2875 |
| 80 and 118 | 4720 |
| 190 and 122 | 11590 |